A cockle-induced bioturbation model and its impact on sediment erodibility: a meta-analysis.

SUPPLEMENTARY DATA

1 Introduction

NB: Graphs can be observed full screen by a right click + “Open image in new tab”

2 Materials and Methods

All data processing was conducted in R version 4.3.0 (2023-04-21 ucrt) and Matlab 2021a. Significance levels are p < .0001 with “****”, p < .001 with “***”, p < .01 with “**”, p < .05 with “*”.

2.1 Metabolic rate

2.2 Erosion data

SuppFig 2.A: A: Bed sheer stress (BSS [Pa]) time scheme for each experiment, B: suspended sediment concentration (Ssc [g.m-2]) versus time for each experiment and C: the metabolic rate calculated (MSRTot [mW.m-2]) versus the sediment silt content [%] for each experiment.

SuppFig 2.B: Bed sheer stress (BSS) [Pa] time scheme for each experiment versus the biological factor (in A, the metabolic rate MSRtot [mW.m-2]) and the silt rate (in B silt content [%]).

2.3 Data treatment

SuppTab 2.A:

Data summary.

Characteristic	Overall, N = 75,5811	Ciutat_2007, N = 7,2891	Cozzoli_2018, N = 6,6861	Cozzoli_2020, N = 13,7681	Dairain_2019, N = 29,7571	Li_2017, N = 1,2451	Orvain_2022, N = 16,8361
Silt_content	0.04 (0.00, 0.72)	0.72 (0.72, 0.72)	0.12 (0.12, 0.12)	0.04 (0.00, 0.28)	0.04 (0.04, 0.04)	0.00 (0.00, 0.32)	0.18 (0.00, 0.36)
nlev_sed	5	1	1	4	1	2	5
Itot_mWm2_Ero	71 (0, 312)	47 (0, 312)	24 (0, 288)	0 (0, 88)	72 (0, 181)	43 (0, 128)	85 (0, 113)
nlev_itot	12	4	12	5	3	3	11
BSS	0.13 (0.00, 2.34)	0.11 (0.00, 0.38)	0.08 (0.02, 0.25)	0.05 (0.01, 0.18)	0.14 (0.00, 1.68)	0.13 (0.01, 0.33)	0.31 (0.00, 2.34)
Seconds	2,875 (0, 28,543)	13,685 (0, 28,543)	3,570 (0, 7,140)	3,420 (0, 7,170)	2,160 (0, 6,000)	5,599 (0, 9,606)	2,805 (0, 5,810)
Step_no	20.0	12.0	6.0	6.0	20.0	8.0	14.0
Ero_Type
Fluff	45,897 (100%)	5,191 (11%)	3,491 (7.6%)	4,000 (8.7%)	20,262 (44%)	711 (1.5%)	12,242 (27%)
Mass	26,289 (100%)	2,098 (8.0%)	3,000 (11%)	6,568 (25%)	9,495 (36%)	534 (2.0%)	4,594 (17%)
None	3,395 (100%)	0 (0%)	195 (5.7%)	3,200 (94%)	0 (0%)	0 (0%)	0 (0%)
1 Median (Range); Maximum; n (%)

2.4 Model building

2.4.1 Erosion model

SuppTab 2.A. Types of equation tested for each erosion process. BioFact corresponds to the biologic factor used, here the MSRtot, SedFact corresponds to the sediment description factor, here silt content.

Equation 3 Qfluff(t0) Cases (q)
1	Q_{fluff}(t_0)=Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon
2	Q_{fluff}(t_0)=(a_{QBio}.BioFact+b_{QBio}).(a_{QSed}.SedFact+b_{QSed})
3	Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[a_{QSed}.SedFact+b_{QSed}]
4	Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[(e^{a_{Sed}.SedFact})+\iota]
5	Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[1-e^{(-a_{Sed}.SedFact)}+\iota]
6	Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[\frac{e^{-a_{Sed}.\ \frac{(SedFact-b_{Sed})^2}{2.{c_{Sed}}^2}}}{c_{Sed}.\sqrt{2\pi}}]
Equation 5 E0 Cases (m)
0	E_0=a_{EBio}.E_{0ab}
Equation 6 Taucritmass Cases (tm)
0	\tau_{mass} = a_{TBio}.\tau_{mass0ab}
1	\tau_{mass} = \tau_{mass0ab}.(a_{TBio}.BioFact+b_{TBio} )
2	\tau_{mass} = \tau_{mass0ab}.(a_{TBio}.{BioFact}^{b_{TBio}+oo} )
3	\tau_{mass} = \tau_{mass0ab}.(a_{TBio}.e^{(BioFact.b_{TBio})}+oo)

2.4.2 Model adjustment

2.4.3 Model validation

3 Results

3.1 Model pre-adjustments

3.1.1 Creation of the fluff layer (I.)

SuppFig 3.A: Observed Qfluff_obs values for MSRtot (mW.m²), (%) silt content and the validated Qfluff(t0) modelled surface.

SuppFig 3.B: Qfluff(t0) observed data versus the modelled one (all in A and detailed by study in B). The solid grey line represents Y = X relationship and its nRMSE.

The Durbin Watson score for the validated Qfluff(t0) model is 1.598 (p-value 0.041).

3.1.2 Abiotic sediment erodibility: control mass erosion (II.)

SuppFig 3.C: A: Erosion data from control experiments in grey and model II in colours; B: Predicted versus observed data, the grey line represents the 1:1 line. Note that x and y axis are in square root scale.

SuppFig 3.D: Erosion data for control experiments (II. A) and model (II. B) versus silt content (%). The thick solid lines represent the mass erosion steps.

SuppFig 3.E: Erosion model for control experiment observed/predicted plot (A1) and detailed for each study (A2), the solid grey line represents y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted (bottom row) curve (B1) and detailed for each study (B2).

SuppFig 3.F: Erosion model parameters for control runs, versus the silt content of each pool of run.

3.2 Individual fluff & mass erosion (III.)

SuppFig 3.G: Erosion data from data experiments in grey and fluff and mass models in colours, respectively A: model III, B: model IV, C: model V. Note that x and y axis are in square root scale. Control data are not included for the sake of clarity.

SuppFig 3.H: Predicted versus observed data, respectively A: model III, B: model IV, C: model V. The grey line represents the 1:1 line. Note that x and y axis are in square root scale. Control data are not included for the sake of clarity.

III. Individual fluff erosion

SuppFig 3.I: Erosion data used for the biological experiments (III. A) and for the individual fluff model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

III. Individual mass erosion

SuppFig 3.J: Erosion data used for the biological experiments (III. A) and for the individual mass model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

III. Individual fluff & mass erosion

SuppFig 3.K: Erosion data used for the biological experiments (III. A) and for the individual fluff and mass model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

III. Individual fluff erosion

SuppFig 3.L: Fluff erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

III. Individual mass erosion

SuppFig 3.M: Mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

III. Individual fluff & mass erosion

SuppFig 3.N: Fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.3 Type of sediment, fluff & mass erosion

3.4 Global fluff & mass adjustment

III. Individual fluff & mass erosion

SuppFig 3.O: Individual fluff & mass erosion data for the biological experiments (III. fluff & mass A) and global fluff model (III. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Control data are not included for the sake of clarity.

IV. Sediment type fluff & mass erosion

SuppFig 3.P: Sediment type fluff & mass erosion data for the biological experiments (IV. fluff & mass A) and global fluff model (IV. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Control data are not included for the sake of clarity.

V. Global fluff & mass adjustment

SuppFig 3.Q: Global fluff & mass erosion data for the biological experiments (V. fluff & mass A) and global fluff model (V. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Controls data are removed of plot for the sake of clarity.

III. Individual fluff & mass erosion

SuppFig 3.R: Individual fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

IV. Sediment type fluff & mass erosion

SuppFig 3.S: Sediment type fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

V. Global fluff & mass adjustment

SuppFig 3.T: Global fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.5 Global fluff adjustment (V.): the selected model

SuppFig 3.U: A: Erosion data from data experiments in grey and fluff model V in colours; B: Predicted versus observed data, the grey line represents the 1:1 line. Note that x and y axis are in square root scale. Control data are not included for the sake of clarity.

SuppFig 3.V: Fluff erosion data used for the biological experiments (V. fluff A) and global fluff model (V. fluff B) versus the biological factor (metabolic rate mW.m-2), and predicted-observed plot (C). Control data are not included for the sake of clarity.

SuppFig 3.W: Global fluff erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.6 Other parameterization tests

SuppTab 3. Types of equation tested for each erosion process. BioFact corresponds to the biological factor used, here the MSRtot, SedFact corresponds to the sediment description factor, here silt content.

Equation 7
	\tau_{fluff}(t)=\tau_{fluff}+zrhof.(1-\frac{Q_{fluff}(t)}{Q_{fluff}(t_0)})
Equation 8
A	\tau_{mass}(t)=\tau_{mass0}-zrhom.Q_{mass}(t)
B	\tau_{mass}(t)=\tau_{mass0}.e^{(1-zrhom.Q_{mass}(t))}+\theta
C	\tau_{mass}(t)=(\theta-\tau_{mass0}).e^{(zrhom.Q_{mass}(t))}+\tau_{mass0}
Equation 9
A	E_{0ab}=(a_{ESed}.SedFact+b_{ESed})
B	E_{0ab}=a_{ESed}.e^{(SedFact^{b_{ESed}})}+\upsilon
Equation 10
A	\tau_{mass0ab}=a_{TSed}.SedFact+b_{TSed}
B	\tau_{mass0ab}=a_{TSed}.{SedFact}^{b_{TSed}}+\omega
C	\tau_{mass0ab}=a_{TSed}.e^{SedFact.b_{TSed}}+\omega

3.7 Results tables

SuppTab 3.A:

Models validated parameters.

Run	Cond_Fact	Cond_Biom	Silt_content	Itot_mWm2_Ero	Equation_3					Equation_2			Equation_4				Equation_5	Equation_6
					Qinf	aQBio	epsilon	aQSed	iota	Alpha	tau_crit_fluff	omicron	E0	tau_crit_mass	E0ab	tm0ab	aEBio	aTBio	bTBio	oo
I. Creation of the fluff layer
All	All	All	-	-	20.163	0.01	11.837	1.815	1.12	-	-	-	-	-	-	-	-	-	-	-
II. Abiotic sediment erodibility
Cozzoli_2020	0P	All	0	-	-	-	-	-	-	-	-	-	0.014	0.037	0.014	0.037	-	-	-	-
Li_2017	NonCoh	All	0	-	-	-	-	-	-	-	-	-	0.047	0.076	0.047	0.076	-	-	-	-
Orvain_2022	S100V0	All	0	-	-	-	-	-	-	-	-	-	0.083	0.383	0.083	0.383	-	-	-	-
Cozzoli_2020	4P	All	0.04	-	-	-	-	-	-	-	-	-	0.071	0.074	0.071	0.074	-	-	-	-
Dairain_2019	NoPHY_MPB	All	0.044	-	-	-	-	-	-	-	-	-	1.201	0.752	1.201	0.752	-	-	-	-
Dairain_2019	NoPHY_NoMPB	All	0.044	-	-	-	-	-	-	-	-	-	0.271	0.496	0.271	0.496	-	-	-	-
Dairain_2019	PHY_MPB	All	0.044	-	-	-	-	-	-	-	-	-	2.282	1.061	2.282	1.061	-	-	-	-
Dairain_2019	PHY_NoMPB	All	0.044	-	-	-	-	-	-	-	-	-	0.018	0.169	0.018	0.169	-	-	-	-
Orvain_2022	S75V25	All	0.085	-	-	-	-	-	-	-	-	-	0.398	0.49	0.398	0.49	-	-	-	-
Cozzoli_2020	10P	All	0.1	-	-	-	-	-	-	-	-	-	0.05	0.105	0.05	0.105	-	-	-	-
Cozzoli_2018	MudSand	All	0.12	-	-	-	-	-	-	-	-	-	2.943 × 10−12	5.839 × 10−11	2.943 × 10−12	5.839 × 10−11	-	-	-	-
Orvain_2022	S50V50	All	0.179	-	-	-	-	-	-	-	-	-	0.35	0.473	0.35	0.473	-	-	-	-
Cozzoli_2020	28P	All	0.28	-	-	-	-	-	-	-	-	-	0.001	0.018	0.001	0.018	-	-	-	-
Orvain_2022	S25V75	All	0.281	-	-	-	-	-	-	-	-	-	0.265	0.516	0.265	0.516	-	-	-	-
Li_2017	Coh	All	0.32	-	-	-	-	-	-	-	-	-	1.000 × 10−3	1	1.000 × 10−3	1	-	-	-	-
Orvain_2022	S0V100	All	0.357	-	-	-	-	-	-	-	-	-	0.341	0.728	0.341	0.728	-	-	-	-
Ciutat_2007	Natural	All	0.723	-	-	-	-	-	-	-	-	-	0.012	0.154	0.012	0.154	-	-	-	-
III. Individual fluff erosion
Cozzoli_2020	0P	0P_CONT	0	0	-	-	-	-	-	2.609 × 10−14	0.052	0.031	-	-	-	-	-	-	-	-
Cozzoli_2020	0P	0P_F15	0	88.357	-	-	-	-	-	2.553 × 10−5	0.02	0.026	-	-	-	-	-	-	-	-
Cozzoli_2020	0P	0P_F20	0	71.449	-	-	-	-	-	1.385 × 10−4	0.046	0.011	-	-	-	-	-	-	-	-
Cozzoli_2020	0P	0P_F27	0	57.419	-	-	-	-	-	6.351 × 10−7	0.005	0.019	-	-	-	-	-	-	-	-
Cozzoli_2020	0P	0P_F35	0	47.513	-	-	-	-	-	1.625 × 10−11	0.073	0.026	-	-	-	-	-	-	-	-
Li_2017	NonCoh	NonCoh_High	0	127.527	-	-	-	-	-	0.308	0.198	0.034	-	-	-	-	-	-	-	-
Li_2017	NonCoh	NonCoh_Low	0	42.652	-	-	-	-	-	3.409 × 10−4	0.128	0.089	-	-	-	-	-	-	-	-
Li_2017	NonCoh	NonCoh_None	0	0	-	-	-	-	-	1.247 × 10−4	0.128	0.113	-	-	-	-	-	-	-	-
Orvain_2022	S100V0	S100V0_Adul	0	101.885	-	-	-	-	-	5.765 × 10−4	1.107	0.432	-	-	-	-	-	-	-	-
Orvain_2022	S100V0	S100V0_Cont	0	0	-	-	-	-	-	4.163 × 10−14	0.65	0.129	-	-	-	-	-	-	-	-
Orvain_2022	S100V0	S100V0_Juve	0	113.283	-	-	-	-	-	3.049 × 10−12	0.673	0.187	-	-	-	-	-	-	-	-
Cozzoli_2020	4P	4P_CONT	0.04	0	-	-	-	-	-	0	0.096	0.073	-	-	-	-	-	-	-	-
Cozzoli_2020	4P	4P_F15	0.04	88.357	-	-	-	-	-	9.896 × 10−5	0.02	0.151	-	-	-	-	-	-	-	-
Cozzoli_2020	4P	4P_F20	0.04	71.449	-	-	-	-	-	0.104	0.021	0.017	-	-	-	-	-	-	-	-
Cozzoli_2020	4P	4P_F27	0.04	57.419	-	-	-	-	-	8.710 × 10−5	0.02	0.124	-	-	-	-	-	-	-	-
Cozzoli_2020	4P	4P_F35	0.04	47.513	-	-	-	-	-	0.004	0.051	0.23	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Low	0.044	72.32	-	-	-	-	-	5.551 × 10−16	0.186	0.162	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Medium	0.044	180.8	-	-	-	-	-	4.163 × 10−14	0.113	0.272	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_None	0.044	0	-	-	-	-	-	6.600 × 10−13	1.066	0.964	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	2.322 × 10−5	0.217	0.215	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	7.216 × 10−15	0.119	0.277	-	-	-	-	-	-	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_None	0.044	0	-	-	-	-	-	1.332 × 10−14	0.798	0.408	-	-	-	-	-	-	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Low	0.044	72.32	-	-	-	-	-	2.720 × 10−14	0.305	0.286	-	-	-	-	-	-	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Medium	0.044	180.8	-	-	-	-	-	1.404 × 10−4	0.149	0.268	-	-	-	-	-	-	-	-
Dairain_2019	PHY_MPB	PHY_MPB_None	0.044	0	-	-	-	-	-	0.006	1.278	1.595	-	-	-	-	-	-	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	0	0.129	0.228	-	-	-	-	-	-	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	7.216 × 10−14	0.12	0.288	-	-	-	-	-	-	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_None	0.044	0	-	-	-	-	-	2.554 × 10−14	0.424	0.061	-	-	-	-	-	-	-	-
Orvain_2022	S75V25	S75V25_Adul	0.085	78.904	-	-	-	-	-	1.110 × 10−15	0.541	0.397	-	-	-	-	-	-	-	-
Orvain_2022	S75V25	S75V25_Cont	0.085	0	-	-	-	-	-	6.661 × 10−15	0.663	0.363	-	-	-	-	-	-	-	-
Orvain_2022	S75V25	S75V25_Juve	0.085	97.683	-	-	-	-	-	4.441 × 10−15	0.669	0.59	-	-	-	-	-	-	-	-
Cozzoli_2020	10P	10P_CONT	0.1	0	-	-	-	-	-	0.015	0.166	0.054	-	-	-	-	-	-	-	-
Cozzoli_2020	10P	10P_F15	0.1	88.357	-	-	-	-	-	6.162 × 10−14	0.037	0.038	-	-	-	-	-	-	-	-
Cozzoli_2020	10P	10P_F20	0.1	71.449	-	-	-	-	-	5.113 × 10−13	0.055	0.056	-	-	-	-	-	-	-	-
Cozzoli_2020	10P	10P_F35	0.1	47.513	-	-	-	-	-	0	0.023	0.027	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Big_High	0.12	288.453	-	-	-	-	-	4.391	0.184	0.005	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Big_Low	0.12	48.076	-	-	-	-	-	0	1.725 × 10−5	0.008	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Big_Medium	0.12	96.151	-	-	-	-	-	0	0.021	0.013	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Big_Sparse	0.12	19.23	-	-	-	-	-	4.857 × 10−12	1.237 × 10−9	0.002	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Med_High	0.12	94.475	-	-	-	-	-	10	0.184	9.770 × 10−14	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Med_Low	0.12	23.619	-	-	-	-	-	3.331 × 10−15	0.019	0.008	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Med_Medium	0.12	47.238	-	-	-	-	-	2.054 × 10−14	0.004	0.008	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Med_Sparse	0.12	11.809	-	-	-	-	-	5.218 × 10−14	0.044	0.011	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_None	0.12	0	-	-	-	-	-	2.107 × 10−11	3.665 × 10−8	0.004	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Small_High	0.12	24.902	-	-	-	-	-	4.774 × 10−14	0.103	0.048	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Small_Low	0.12	6.225	-	-	-	-	-	2.548 × 10−13	0.017	0.006	-	-	-	-	-	-	-	-
Cozzoli_2018	MudSand	MudSand_Small_Medium	0.12	12.451	-	-	-	-	-	5.551 × 10−13	0.012	0.008	-	-	-	-	-	-	-	-
Orvain_2022	S50V50	S50V50_Adul	0.179	88.535	-	-	-	-	-	1.662 × 10−12	1.121	0.27	-	-	-	-	-	-	-	-
Orvain_2022	S50V50	S50V50_Cont	0.179	0	-	-	-	-	-	7.772 × 10−15	0.712	0.606	-	-	-	-	-	-	-	-
Orvain_2022	S50V50	S50V50_Juve	0.179	106.729	-	-	-	-	-	5.551 × 10−16	0.807	0.373	-	-	-	-	-	-	-	-
Cozzoli_2020	28P	28P_CONT	0.28	0	-	-	-	-	-	2.250 × 10−4	0.046	0.001	-	-	-	-	-	-	-	-
Cozzoli_2020	28P	28P_F15	0.28	88.357	-	-	-	-	-	2.498 × 10−14	0.04	0.037	-	-	-	-	-	-	-	-
Cozzoli_2020	28P	28P_F20	0.28	71.449	-	-	-	-	-	3.070 × 10−13	0.075	0.042	-	-	-	-	-	-	-	-
Cozzoli_2020	28P	28P_F27	0.28	57.419	-	-	-	-	-	1.110 × 10−14	0.021	0.02	-	-	-	-	-	-	-	-
Cozzoli_2020	28P	28P_F35	0.28	47.513	-	-	-	-	-	2.282 × 10−5	0.046	0.037	-	-	-	-	-	-	-	-
Orvain_2022	S25V75	S25V75_Adul	0.281	74.092	-	-	-	-	-	1.443 × 10−14	0.761	0.656	-	-	-	-	-	-	-	-
Orvain_2022	S25V75	S25V75_Cont	0.281	0	-	-	-	-	-	3.664 × 10−14	0.796	0.425	-	-	-	-	-	-	-	-
Orvain_2022	S25V75	S25V75_Juve	0.281	95.205	-	-	-	-	-	1.565 × 10−13	0.806	0.341	-	-	-	-	-	-	-	-
Li_2017	Coh	Coh_High	0.32	127.527	-	-	-	-	-	0	0.041	0.052	-	-	-	-	-	-	-	-
Li_2017	Coh	Coh_Low	0.32	42.652	-	-	-	-	-	3.546 × 10−5	0.082	0.049	-	-	-	-	-	-	-	-
Li_2017	Coh	Coh_None	0.32	0	-	-	-	-	-	1.000 × 10−4	1	0	-	-	-	-	-	-	-	-
Orvain_2022	S0V100	S0V100_Adul	0.357	85.489	-	-	-	-	-	5.551 × 10−16	0.658	0.263	-	-	-	-	-	-	-	-
Orvain_2022	S0V100	S0V100_Cont	0.357	0	-	-	-	-	-	3.914 × 10−13	1.127	0.543	-	-	-	-	-	-	-	-
Orvain_2022	S0V100	S0V100_Juve	0.357	106.367	-	-	-	-	-	1.554 × 10−14	0.66	0.349	-	-	-	-	-	-	-	-
Ciutat_2007	Natural	Natural_High	0.723	311.797	-	-	-	-	-	0	0.119	0.063	-	-	-	-	-	-	-	-
Ciutat_2007	Natural	Natural_Low	0.723	47.064	-	-	-	-	-	1.943 × 10−14	0.181	0.024	-	-	-	-	-	-	-	-
Ciutat_2007	Natural	Natural_Medium	0.723	141.191	-	-	-	-	-	8.327 × 10−15	0.144	0.034	-	-	-	-	-	-	-	-
Ciutat_2007	Natural	Natural_None	0.723	0	-	-	-	-	-	9.870 × 10−13	0.205	0.011	-	-	-	-	-	-	-	-
III. Individual mass erosion
Cozzoli_2020	0P	0P_F15	0	88.357	-	-	-	-	-	-	-	-	1.174 × 10−12	4.767 × 10−12	0.014	0.037	8.663 × 10−11	1.304 × 10−10	-	-
Cozzoli_2020	0P	0P_CONT	0	0	-	-	-	-	-	-	-	-	0.014	0.037	0.014	0.037	1	1	-	-
Cozzoli_2020	0P	0P_F20	0	71.449	-	-	-	-	-	-	-	-	2.050 × 10−11	1.668 × 10−10	0.014	0.037	1.513 × 10−9	4.563 × 10−9	-	-
Cozzoli_2020	0P	0P_F27	0	57.419	-	-	-	-	-	-	-	-	4.528 × 10−12	1.764 × 10−11	0.014	0.037	3.341 × 10−10	4.826 × 10−10	-	-
Cozzoli_2020	0P	0P_F35	0	47.513	-	-	-	-	-	-	-	-	0.002	0.008	0.014	0.037	0.114	0.214	-	-
Li_2017	NonCoh	NonCoh_None	0	0	-	-	-	-	-	-	-	-	0.047	0.076	0.047	0.076	1	1	-	-
Li_2017	NonCoh	NonCoh_High	0	127.527	-	-	-	-	-	-	-	-	0.082	0.101	0.047	0.076	1.754	1.324	-	-
Li_2017	NonCoh	NonCoh_Low	0	42.652	-	-	-	-	-	-	-	-	0.032	0.073	0.047	0.076	0.681	0.96	-	-
Orvain_2022	S100V0	S100V0_Adul	0	101.885	-	-	-	-	-	-	-	-	0.256	0.608	0.083	0.383	3.063	1.587	-	-
Orvain_2022	S100V0	S100V0_Cont	0	0	-	-	-	-	-	-	-	-	0.083	0.383	0.083	0.383	1	1	-	-
Orvain_2022	S100V0	S100V0_Juve	0	113.283	-	-	-	-	-	-	-	-	0.123	0.462	0.083	0.383	1.478	1.207	-	-
Cozzoli_2020	4P	4P_F15	0.04	88.357	-	-	-	-	-	-	-	-	0.004	0.002	0.071	0.074	0.055	0.028	-	-
Cozzoli_2020	4P	4P_CONT	0.04	0	-	-	-	-	-	-	-	-	0.071	0.074	0.071	0.074	1	1	-	-
Cozzoli_2020	4P	4P_F20	0.04	71.449	-	-	-	-	-	-	-	-	0.008	0.003	0.071	0.074	0.113	0.041	-	-
Cozzoli_2020	4P	4P_F27	0.04	57.419	-	-	-	-	-	-	-	-	0.006	0.004	0.071	0.074	0.082	0.048	-	-
Cozzoli_2020	4P	4P_F35	0.04	47.513	-	-	-	-	-	-	-	-	0.055	0.029	0.071	0.074	0.773	0.396	-	-
Dairain_2019	PHY_MPB	PHY_MPB_None	0.044	0	-	-	-	-	-	-	-	-	2.282	1.061	2.282	1.061	1	1	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_None	0.044	0	-	-	-	-	-	-	-	-	0.018	0.169	0.018	0.169	1	1	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Low	0.044	72.32	-	-	-	-	-	-	-	-	0.098	0.132	2.282	1.061	0.043	0.125	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	-	-	-	5.563 × 10−4	8.990 × 10−4	0.018	0.169	0.031	0.005	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Medium	0.044	180.8	-	-	-	-	-	-	-	-	0.043	0.048	2.282	1.061	0.019	0.045	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	-	-	-	3.065 × 10−12	3.386 × 10−12	0.018	0.169	1.720 × 10−10	1.998 × 10−11	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_None	0.044	0	-	-	-	-	-	-	-	-	1.201	0.752	1.201	0.752	1	1	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_None	0.044	0	-	-	-	-	-	-	-	-	0.271	0.496	0.271	0.496	1	1	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Low	0.044	72.32	-	-	-	-	-	-	-	-	0.036	0.077	1.201	0.752	0.03	0.103	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	-	-	-	0.029	0.057	0.271	0.496	0.106	0.114	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Medium	0.044	180.8	-	-	-	-	-	-	-	-	0.012	0.012	1.201	0.752	0.01	0.016	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	-	-	-	0.04	0.032	0.271	0.496	0.147	0.064	-	-
Orvain_2022	S75V25	S75V25_Adul	0.085	78.904	-	-	-	-	-	-	-	-	0.119	0.219	0.398	0.49	0.3	0.446	-	-
Orvain_2022	S75V25	S75V25_Cont	0.085	0	-	-	-	-	-	-	-	-	0.398	0.49	0.398	0.49	1	1	-	-
Orvain_2022	S75V25	S75V25_Juve	0.085	97.683	-	-	-	-	-	-	-	-	0.266	0.378	0.398	0.49	0.668	0.771	-	-
Cozzoli_2020	10P	10P_F15	0.1	88.357	-	-	-	-	-	-	-	-	1.430 × 10−5	3.710 × 10−5	0.05	0.105	2.889 × 10−4	3.532 × 10−4	-	-
Cozzoli_2020	10P	10P_CONT	0.1	0	-	-	-	-	-	-	-	-	0.05	0.105	0.05	0.105	1	1	-	-
Cozzoli_2020	10P	10P_F20	0.1	71.449	-	-	-	-	-	-	-	-	0.001	0.003	0.05	0.105	0.021	0.025	-	-
Cozzoli_2020	10P	10P_F35	0.1	47.513	-	-	-	-	-	-	-	-	0.001	0.004	0.05	0.105	0.027	0.042	-	-
Cozzoli_2018	MudSand	MudSand_Big_Medium	0.12	96.151	-	-	-	-	-	-	-	-	1.311 × 10−12	1.179 × 10−11	2.943 × 10−12	5.839 × 10−11	0.446	0.202	-	-
Cozzoli_2018	MudSand	MudSand_Big_Sparse	0.12	19.23	-	-	-	-	-	-	-	-	4.026 × 10−15	6.148 × 10−14	2.943 × 10−12	5.839 × 10−11	0.001	0.001	-	-
Cozzoli_2018	MudSand	MudSand_Big_High	0.12	288.453	-	-	-	-	-	-	-	-	1.191 × 10−11	3.137 × 10−11	2.943 × 10−12	5.839 × 10−11	4.047	0.537	-	-
Cozzoli_2018	MudSand	MudSand_Big_Low	0.12	48.076	-	-	-	-	-	-	-	-	5.808 × 10−14	6.385 × 10−13	2.943 × 10−12	5.839 × 10−11	0.02	0.011	-	-
Cozzoli_2018	MudSand	MudSand_Med_Low	0.12	23.619	-	-	-	-	-	-	-	-	1.299 × 10−14	1.516 × 10−13	2.943 × 10−12	5.839 × 10−11	0.004	0.003	-	-
Cozzoli_2018	MudSand	MudSand_Med_Medium	0.12	47.238	-	-	-	-	-	-	-	-	1.126 × 10−14	1.311 × 10−13	2.943 × 10−12	5.839 × 10−11	0.004	0.002	-	-
Cozzoli_2018	MudSand	MudSand_Med_High	0.12	94.475	-	-	-	-	-	-	-	-	9.835 × 10−12	4.537 × 10−11	2.943 × 10−12	5.839 × 10−11	3.342	0.777	-	-
Cozzoli_2018	MudSand	MudSand_Med_Sparse	0.12	11.809	-	-	-	-	-	-	-	-	5.265 × 10−13	5.726 × 10−12	2.943 × 10−12	5.839 × 10−11	0.179	0.098	-	-
Cozzoli_2018	MudSand	MudSand_Small_Low	0.12	6.225	-	-	-	-	-	-	-	-	5.351 × 10−15	7.716 × 10−14	2.943 × 10−12	5.839 × 10−11	0.002	0.001	-	-
Cozzoli_2018	MudSand	MudSand_Small_Medium	0.12	12.451	-	-	-	-	-	-	-	-	2.754 × 10−14	3.256 × 10−13	2.943 × 10−12	5.839 × 10−11	0.009	0.006	-	-
Cozzoli_2018	MudSand	MudSand_Small_High	0.12	24.902	-	-	-	-	-	-	-	-	1.078 × 10−11	5.525 × 10−11	2.943 × 10−12	5.839 × 10−11	3.663	0.946	-	-
Cozzoli_2018	MudSand	MudSand_None	0.12	0	-	-	-	-	-	-	-	-	6.729 × 10−18	1.335 × 10−16	2.943 × 10−12	5.839 × 10−11	2.287 × 10−6	2.287 × 10−6	-	-
Orvain_2022	S50V50	S50V50_Adul	0.179	88.535	-	-	-	-	-	-	-	-	0.124	0.618	0.35	0.473	0.355	1.306	-	-
Orvain_2022	S50V50	S50V50_Cont	0.179	0	-	-	-	-	-	-	-	-	0.35	0.473	0.35	0.473	1	1	-	-
Orvain_2022	S50V50	S50V50_Juve	0.179	106.729	-	-	-	-	-	-	-	-	0.096	0.374	0.35	0.473	0.274	0.792	-	-
Cozzoli_2020	28P	28P_F15	0.28	88.357	-	-	-	-	-	-	-	-	1.058 × 10−11	2.795 × 10−11	0.001	0.018	8.012 × 10−9	1.557 × 10−9	-	-
Cozzoli_2020	28P	28P_CONT	0.28	0	-	-	-	-	-	-	-	-	0.001	0.018	0.001	0.018	1	1	-	-
Cozzoli_2020	28P	28P_F20	0.28	71.449	-	-	-	-	-	-	-	-	0.002	0.007	0.001	0.018	1.596	0.374	-	-
Cozzoli_2020	28P	28P_F27	0.28	57.419	-	-	-	-	-	-	-	-	2.689 × 10−4	0.001	0.001	0.018	0.204	0.07	-	-
Cozzoli_2020	28P	28P_F35	0.28	47.513	-	-	-	-	-	-	-	-	0.001	0.005	0.001	0.018	1.03	0.285	-	-
Orvain_2022	S25V75	S25V75_Adul	0.281	74.092	-	-	-	-	-	-	-	-	0.232	0.391	0.265	0.516	0.876	0.757	-	-
Orvain_2022	S25V75	S25V75_Cont	0.281	0	-	-	-	-	-	-	-	-	0.265	0.516	0.265	0.516	1	1	-	-
Orvain_2022	S25V75	S25V75_Juve	0.281	95.205	-	-	-	-	-	-	-	-	0.092	0.391	0.265	0.516	0.347	0.757	-	-
Li_2017	Coh	Coh_None	0.32	0	-	-	-	-	-	-	-	-	1.000 × 10−3	1	1.000 × 10−3	1	1	1	-	-
Li_2017	Coh	Coh_High	0.32	127.527	-	-	-	-	-	-	-	-	4.955 × 10−11	1.285 × 10−10	1.000 × 10−3	1	4.955 × 10−8	1.285 × 10−10	-	-
Li_2017	Coh	Coh_Low	0.32	42.652	-	-	-	-	-	-	-	-	8.064 × 10−11	4.409 × 10−10	1.000 × 10−3	1	8.064 × 10−8	4.409 × 10−10	-	-
Orvain_2022	S0V100	S0V100_Adul	0.357	85.489	-	-	-	-	-	-	-	-	0.068	0.27	0.341	0.728	0.2	0.371	-	-
Orvain_2022	S0V100	S0V100_Cont	0.357	0	-	-	-	-	-	-	-	-	0.341	0.728	0.341	0.728	1	1	-	-
Orvain_2022	S0V100	S0V100_Juve	0.357	106.367	-	-	-	-	-	-	-	-	0.111	0.353	0.341	0.728	0.324	0.485	-	-
Ciutat_2007	Natural	Natural_High	0.723	311.797	-	-	-	-	-	-	-	-	0.013	0.039	0.012	0.154	1.048	0.25	-	-
Ciutat_2007	Natural	Natural_Low	0.723	47.064	-	-	-	-	-	-	-	-	0.017	0.105	0.012	0.154	1.403	0.681	-	-
Ciutat_2007	Natural	Natural_Medium	0.723	141.191	-	-	-	-	-	-	-	-	0.015	0.075	0.012	0.154	1.185	0.484	-	-
Ciutat_2007	Natural	Natural_None	0.723	0	-	-	-	-	-	-	-	-	0.012	0.154	0.012	0.154	1	1	-	-
III. Individual fluff & mass erosion
Cozzoli_2020	0P	0P_CONT	0	0	-	-	-	-	-	0.017	0.119	9.392 × 10−13	0.009	0.034	0.014	0.037	0.677	0.937	-	-
Cozzoli_2020	0P	0P_F15	0	88.357	-	-	-	-	-	2.707 × 10−4	0.014	1.425 × 10−10	0.003	0.02	0.014	0.037	0.214	0.534	-	-
Cozzoli_2020	0P	0P_F20	0	71.449	-	-	-	-	-	0.085	4.058	0.005	1.037 × 10−12	8.439 × 10−12	0.014	0.037	7.653 × 10−11	2.309 × 10−10	-	-
Cozzoli_2020	0P	0P_F27	0	57.419	-	-	-	-	-	9.110 × 10−4	0.016	1.937 × 10−13	5.484 × 10−4	0.004	0.014	0.037	0.04	0.111	-	-
Cozzoli_2020	0P	0P_F35	0	47.513	-	-	-	-	-	5.718 × 10−5	0.02	0.005	0.006	0.039	0.014	0.037	0.468	1.073	-	-
Li_2017	NonCoh	NonCoh_High	0	127.527	-	-	-	-	-	2.162	0.326	0.487	0.031	0.066	0.047	0.076	0.652	0.872	-	-
Li_2017	NonCoh	NonCoh_Low	0	42.652	-	-	-	-	-	0.017	0.177	6.375 × 10−10	0.02	0.067	0.047	0.076	0.424	0.877	-	-
Li_2017	NonCoh	NonCoh_None	0	0	-	-	-	-	-	0.039	0.217	0.124	0.025	0.06	0.047	0.076	0.536	0.795	-	-
Orvain_2022	S100V0	S100V0_Adul	0	101.885	-	-	-	-	-	0.034	1.14	0.432	0.104	0.503	0.083	0.383	1.248	1.315	-	-
Orvain_2022	S100V0	S100V0_Cont	0	0	-	-	-	-	-	0.397	0.039	1.404 × 10−9	0.16	0.535	0.083	0.383	1.915	1.398	-	-
Orvain_2022	S100V0	S100V0_Juve	0	113.283	-	-	-	-	-	0.002	1.055	0.197	0.006	0.119	0.083	0.383	0.067	0.312	-	-
Cozzoli_2020	4P	4P_CONT	0.04	0	-	-	-	-	-	0.001	0.095	1.821 × 10−10	0.063	0.075	0.071	0.074	0.889	1.012	-	-
Cozzoli_2020	4P	4P_F15	0.04	88.357	-	-	-	-	-	7.713	0.046	0.002	1.054 × 10−4	1.129 × 10−4	0.071	0.074	0.001	0.002	-	-
Cozzoli_2020	4P	4P_F20	0.04	71.449	-	-	-	-	-	0.008	0.028	1.706 × 10−10	0.008	0.004	0.071	0.074	0.113	0.052	-	-
Cozzoli_2020	4P	4P_F27	0.04	57.419	-	-	-	-	-	0.04	0.044	0.021	0.013	0.009	0.071	0.074	0.18	0.12	-	-
Cozzoli_2020	4P	4P_F35	0.04	47.513	-	-	-	-	-	0.03	0.077	0.083	0.001	0.004	0.071	0.074	0.018	0.047	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Low	0.044	72.32	-	-	-	-	-	0.168	0.144	0.284	0.311	0.31	1.201	0.752	0.259	0.412	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_Medium	0.044	180.8	-	-	-	-	-	0.002	0.182	0.333	5.950 × 10−4	0.001	1.201	0.752	4.955 × 10−4	0.002	-	-
Dairain_2019	NoPHY_MPB	NoPHY_MPB_None	0.044	0	-	-	-	-	-	10	1.158	2.738 × 10−8	1.019	0.753	1.201	0.752	0.848	1.002	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	8.772 × 10−4	0.295	0.229	9.663 × 10−13	7.022 × 10−12	0.271	0.496	3.572 × 10−12	1.414 × 10−11	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	1.573	0.3	0.382	0.011	0.013	0.271	0.496	0.041	0.025	-	-
Dairain_2019	NoPHY_NoMPB	NoPHY_NoMPB_None	0.044	0	-	-	-	-	-	0.324	0.648	0.352	0.41	0.631	0.271	0.496	1.516	1.272	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Low	0.044	72.32	-	-	-	-	-	0.109	0.452	8.373 × 10−6	0.081	0.128	2.282	1.061	0.035	0.121	-	-
Dairain_2019	PHY_MPB	PHY_MPB_Medium	0.044	180.8	-	-	-	-	-	5.438	0.306	5.895	0.003	0.008	2.282	1.061	0.001	0.008	-	-
Dairain_2019	PHY_MPB	PHY_MPB_None	0.044	0	-	-	-	-	-	5.474 × 10−6	0.016	0.003	2.336	1.076	2.282	1.061	1.024	1.014	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Low	0.044	72.32	-	-	-	-	-	3.386 × 10−14	3.682 × 10−4	0.021	0.034	0.052	0.018	0.169	1.882	0.306	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_Medium	0.044	180.8	-	-	-	-	-	2.387 × 10−14	5.417 × 10−5	0.023	0.041	0.042	0.018	0.169	2.321	0.249	-	-
Dairain_2019	PHY_NoMPB	PHY_NoMPB_None	0.044	0	-	-	-	-	-	0.054	0.68	0.057	4.385 × 10−10	1.296 × 10−8	0.018	0.169	2.461 × 10−8	7.650 × 10−8	-	-
Orvain_2022	S75V25	S75V25_Adul	0.085	78.904	-	-	-	-	-	2.142 × 10−11	1.1	0.276	0.049	0.133	0.398	0.49	0.124	0.271	-	-
Orvain_2022	S75V25	S75V25_Cont	0.085	0	-	-	-	-	-	1.528	1.854	3.964	0.33	0.471	0.398	0.49	0.829	0.96	-	-
Orvain_2022	S75V25	S75V25_Juve	0.085	97.683	-	-	-	-	-	2.498 × 10−14	1.769	2.073	0.068	0.2	0.398	0.49	0.171	0.407	-	-
Cozzoli_2020	10P	10P_CONT	0.1	0	-	-	-	-	-	0.02	0.179	0.008	0.013	0.076	0.05	0.105	0.271	0.728	-	-
Cozzoli_2020	10P	10P_F15	0.1	88.357	-	-	-	-	-	1.006 × 10−4	0.02	0.009	0.016	0.037	0.05	0.105	0.316	0.35	-	-
Cozzoli_2020	10P	10P_F20	0.1	71.449	-	-	-	-	-	5.825	7.584	7.788 × 10−4	0.001	0.003	0.05	0.105	0.021	0.025	-	-
Cozzoli_2020	10P	10P_F35	0.1	47.513	-	-	-	-	-	0.002	0.071	8.124 × 10−9	3.600 × 10−9	1.995 × 10−8	0.05	0.105	7.271 × 10−8	1.900 × 10−7	-	-
Cozzoli_2018	MudSand	MudSand_Big_High	0.12	288.453	-	-	-	-	-	1.121	0.25	0.489	2.764 × 10−11	1.434 × 10−10	2.943 × 10−12	5.839 × 10−11	9.394	2.456	-	-
Cozzoli_2018	MudSand	MudSand_Big_Low	0.12	48.076	-	-	-	-	-	2.354 × 10−13	0.02	0.007	1.514 × 10−12	9.942 × 10−11	2.943 × 10−12	5.839 × 10−11	0.515	1.703	-	-
Cozzoli_2018	MudSand	MudSand_Big_Medium	0.12	96.151	-	-	-	-	-	1.221 × 10−13	0.014	0.004	3.568 × 10−12	5.462 × 10−11	2.943 × 10−12	5.839 × 10−11	1.212	0.935	-	-
Cozzoli_2018	MudSand	MudSand_Big_Sparse	0.12	19.23	-	-	-	-	-	4.493 × 10−12	1.163 × 10−9	0.002	4.727 × 10−22	4.990 × 10−10	2.943 × 10−12	5.839 × 10−11	1.606 × 10−10	8.545	-	-
Cozzoli_2018	MudSand	MudSand_Med_High	0.12	94.475	-	-	-	-	-	0.027	0.239	0.152	3.018 × 10−12	2.216 × 10−11	2.943 × 10−12	5.839 × 10−11	1.026	0.38	-	-
Cozzoli_2018	MudSand	MudSand_Med_Low	0.12	23.619	-	-	-	-	-	4.724 × 10−13	0.02	0.006	1.248 × 10−12	7.363 × 10−11	2.943 × 10−12	5.839 × 10−11	0.424	1.261	-	-
Cozzoli_2018	MudSand	MudSand_Med_Medium	0.12	47.238	-	-	-	-	-	2.450 × 10−12	0.02	0.007	1.411 × 10−12	1.096 × 10−10	2.943 × 10−12	5.839 × 10−11	0.48	1.876	-	-
Cozzoli_2018	MudSand	MudSand_Med_Sparse	0.12	11.809	-	-	-	-	-	1.588 × 10−13	0.003	0.004	4.628 × 10−12	8.810 × 10−11	2.943 × 10−12	5.839 × 10−11	1.573	1.509	-	-
Cozzoli_2018	MudSand	MudSand_None	0.12	0	-	-	-	-	-	1.732 × 10−13	0.016	0.005	5.701 × 10−24	6.813 × 10−11	2.943 × 10−12	5.839 × 10−11	1.937 × 10−12	1.167	-	-
Cozzoli_2018	MudSand	MudSand_Small_High	0.12	24.902	-	-	-	-	-	0.006	0.212	0.149	3.083 × 10−12	2.537 × 10−11	2.943 × 10−12	5.839 × 10−11	1.048	0.435	-	-
Cozzoli_2018	MudSand	MudSand_Small_Low	0.12	6.225	-	-	-	-	-	2.498 × 10−14	4.603 × 10−4	0.005	1.406 × 10−12	1.314 × 10−10	2.943 × 10−12	5.839 × 10−11	0.478	2.25	-	-
Cozzoli_2018	MudSand	MudSand_Small_Medium	0.12	12.451	-	-	-	-	-	7.772 × 10−15	0.019	0.008	1.086 × 10−20	4.083 × 10−10	2.943 × 10−12	5.839 × 10−11	3.690 × 10−9	6.993	-	-
Orvain_2022	S50V50	S50V50_Adul	0.179	88.535	-	-	-	-	-	0.005	1.49	0.255	0.015	0.282	0.35	0.473	0.041	0.597	-	-
Orvain_2022	S50V50	S50V50_Cont	0.179	0	-	-	-	-	-	4.043 × 10−6	0.007	0.004	0.399	0.513	0.35	0.473	1.14	1.084	-	-
Orvain_2022	S50V50	S50V50_Juve	0.179	106.729	-	-	-	-	-	8.636 × 10−7	0.039	0.013	0.2	0.608	0.35	0.473	0.572	1.286	-	-
Cozzoli_2020	28P	28P_CONT	0.28	0	-	-	-	-	-	0.003	0.182	3.464 × 10−10	0.001	0.016	0.001	0.018	0.839	0.892	-	-
Cozzoli_2020	28P	28P_F15	0.28	88.357	-	-	-	-	-	3.246 × 10−4	0.031	2.281 × 10−10	3.502 × 10−10	1.546 × 10−9	0.001	0.018	2.652 × 10−7	8.611 × 10−8	-	-
Cozzoli_2020	28P	28P_F20	0.28	71.449	-	-	-	-	-	0.006	0.174	2.936 × 10−12	1.875 × 10−4	7.106 × 10−4	0.001	0.018	0.142	0.04	-	-
Cozzoli_2020	28P	28P_F27	0.28	57.419	-	-	-	-	-	5.471 × 10−5	0.022	8.843 × 10−4	1.155 × 10−14	8.755 × 10−14	0.001	0.018	8.743 × 10−12	4.878 × 10−12	-	-
Cozzoli_2020	28P	28P_F35	0.28	47.513	-	-	-	-	-	3.546 × 10−4	0.045	1.394 × 10−9	9.417 × 10−9	6.600 × 10−8	0.001	0.018	7.131 × 10−6	3.677 × 10−6	-	-
Orvain_2022	S25V75	S25V75_Adul	0.281	74.092	-	-	-	-	-	0.014	0.992	4.797 × 10−11	0.204	0.386	0.265	0.516	0.769	0.748	-	-
Orvain_2022	S25V75	S25V75_Cont	0.281	0	-	-	-	-	-	1.260 × 10−4	0.078	0.001	0.375	0.62	0.265	0.516	1.413	1.201	-	-
Orvain_2022	S25V75	S25V75_Juve	0.281	95.205	-	-	-	-	-	3.131 × 10−13	0.172	0.016	0.171	0.599	0.265	0.516	0.643	1.161	-	-
Li_2017	Coh	Coh_High	0.32	127.527	-	-	-	-	-	6.856 × 10−4	0.082	0.009	0.002	0.007	1.000 × 10−3	1	2.185	0.007	-	-
Li_2017	Coh	Coh_Low	0.32	42.652	-	-	-	-	-	2.332 × 10−4	0.082	0.016	1.869 × 10−4	0.002	1.000 × 10−3	1	0.187	0.002	-	-
Li_2017	Coh	Coh_None	0.32	0	-	-	-	-	-	1.000 × 10−3	1	0	1.000 × 10−3	1	1.000 × 10−3	1	1	1	-	-
Orvain_2022	S0V100	S0V100_Adul	0.357	85.489	-	-	-	-	-	1.454 × 10−13	0.976	0.244	5.225 × 10−4	0.007	0.341	0.728	0.002	0.009	-	-
Orvain_2022	S0V100	S0V100_Cont	0.357	0	-	-	-	-	-	1.110 × 10−15	1.892 × 10−11	0.003	0.423	0.823	0.341	0.728	1.239	1.131	-	-
Orvain_2022	S0V100	S0V100_Juve	0.357	106.367	-	-	-	-	-	1.813 × 10−5	0.033	0.005	0.196	0.537	0.341	0.728	0.574	0.737	-	-
Ciutat_2007	Natural	Natural_High	0.723	311.797	-	-	-	-	-	0.184	0.373	0.615	9.594 × 10−4	0.004	0.012	0.154	0.078	0.028	-	-
Ciutat_2007	Natural	Natural_Low	0.723	47.064	-	-	-	-	-	0.005	0.282	0.015	0.004	0.054	0.012	0.154	0.334	0.348	-	-
Ciutat_2007	Natural	Natural_Medium	0.723	141.191	-	-	-	-	-	3.699 × 10−4	0.283	0.036	0.002	0.025	0.012	0.154	0.192	0.159	-	-
Ciutat_2007	Natural	Natural_None	0.723	0	-	-	-	-	-	0.003	0.278	6.014 × 10−4	3.754 × 10−4	0.028	0.012	0.154	0.03	0.179	-	-
IV. Type of sediment, fluff & mass erosion
Cozzoli_2020	0P	All	0	-	-	-	-	-	-	2.957 × 10−4	0.017	3.631 × 10−7	0.025	0.057	0.014	0.037	1.877	1.551	0.004	0.172
Li_2017	NonCoh	All	0	-	-	-	-	-	-	1.716	0.326	0.449	0.036	0.071	0.047	0.076	0.771	0.927	3.191 × 10−4	0.002
Orvain_2022	S100V0	All	0	-	-	-	-	-	-	5.345 × 10−12	0.037	0.007	0.263	5.062 × 10−4	0.083	0.383	3.145	0.001	0.01	1.665
Cozzoli_2020	4P	All	0.04	-	-	-	-	-	-	2.87	0.02	0.008	0.145	0.035	0.071	0.074	2.048	0.475	0.061	0.935
Dairain_2019	NoPHY_MPB	All	0.044	-	-	-	-	-	-	7.295	0.194	0.611	1.491	0.452	1.201	0.752	1.242	0.601	9.481 × 10−12	0.477
Dairain_2019	NoPHY_NoMPB	All	0.044	-	-	-	-	-	-	1.058	0.213	3.042	0.578	5.085 × 10−8	0.271	0.496	2.138	1.024 × 10−7	0.079	1.483
Dairain_2019	PHY_MPB	All	0.044	-	-	-	-	-	-	0.109	0.283	1.06	4.798	0.268	2.282	1.061	2.102	0.253	2.815	0.928
Dairain_2019	PHY_NoMPB	All	0.044	-	-	-	-	-	-	3.187	7.506	0.004	0	0	0.018	0.169	0	0	0.002	0
Orvain_2022	S75V25	All	0.085	-	-	-	-	-	-	0.001	0.22	0.061	0.654	3.052 × 10−13	0.398	0.49	1.644	6.223 × 10−13	0.05	1.235
Cozzoli_2020	10P	All	0.1	-	-	-	-	-	-	1.797	0.082	0.005	0.148	0.02	0.05	0.105	2.996	0.188	9.026 × 10−13	1.221
Cozzoli_2018	MudSand	All	0.12	-	-	-	-	-	-	0.016	0.181	7.978 × 10−12	3.434 × 10−12	7.731 × 10−12	2.943 × 10−12	5.839 × 10−11	1.167	0.132	6.051 × 10−14	0.612
Orvain_2022	S50V50	All	0.179	-	-	-	-	-	-	0	0.819	0.304	0.15	0.005	0.35	0.473	0.43	0.01	9.814	0.797
Cozzoli_2020	28P	All	0.28	-	-	-	-	-	-	0.286	0.082	0.015	0.013	0	0.001	0.018	9.983	0	3.84	7.108
Orvain_2022	S25V75	All	0.281	-	-	-	-	-	-	9.936 × 10−4	0.27	4.025 × 10−8	0.414	1.031 × 10−14	0.265	0.516	1.563	1.998 × 10−14	0.101	1.128
Li_2017	Coh	All	0.32	-	-	-	-	-	-	1.443 × 10−4	0.082	0.075	0.002	0.215	1.000 × 10−3	1	1.855	0.215	0.004	0.815
Orvain_2022	S0V100	All	0.357	-	-	-	-	-	-	2.183 × 10−4	0.112	0	0.251	0	0.341	0.728	0.736	0	0.081	0.877
Ciutat_2007	Natural	All	0.723	-	-	-	-	-	-	1.067	0.192	0.56	0.124	0.002	0.012	0.154	10	0.01	7.849 × 10−9	1.445
V. Global fluff erosion on fluff steps
All	All	All	-	-	-	-	-	-	-	6.877 × 10−6	0.014	0.005	-	-	-	-	-	-	-	-
V. Global fluff & mass erosion
All	All	All	-	-	-	-	-	-	-	0.027	0.145	0.242	-	-	-	-	0.537	0.911	-	-

SuppTab 3.B:

Models validation scores.

Model equations	df	AIC	AICc	BIC	RMSE	Sigma	nRMSE	hmc	pval_hmc	nb_param	Pool_nb
I. Creation of the fluff layer
Qfluff_q4	5	628.774	628.835	630.994	24.281	24.281	0.806	0.521	0.581	5	1
Qfluff_q6	6	632.066	632.127	634.286	24.876	24.876	0.783	0.499	0.501	6	1
Qfluff_q2	4	638.243	638.304	640.463	26.032	26.032	0.758	0.46	0.317	4	1
Qfluff_q5	5	634.204	634.264	636.423	25.27	25.27	0.745	0.483	0.409	5	1
Qfluff_q3	5	647.7	647.761	649.92	27.906	27.906	0.679	0.587	0.851	5	1
Qfluff_q1	3	647.75	647.81	649.969	27.917	27.917	0.481	0.423	0.185	3	1
II. Abiotic sediment erodibility
M_Cont_m0tm0mz0	34	276,580.437	276,580.437	276,588.708	29.049	29.049	0.966	0.118	0	2	17
III. Individual fluff erosion
F_R_q4fz0_m00tm00mz0	204	754,455.72	754,455.72	754,464.96	34.304	34.304	0.966	0.335	0	3	68
III. Individual mass erosion
M_R_q0fz0_m00tm00mz0	272	733,400.417	733,400.417	733,409.658	29.874	29.874	0.974	0.331	0	4	68
III. Individual fluff & mass erosion
FM_R_q4fz0_m00tm00mz0	476	703,550.764	703,550.764	703,560.005	24.557	24.557	0.981	0.331	0	7	68
IV. Type of sediment, fluff & mass erosion
FM_I_q4fz0_m00tm03mz0	153	729,758.408	729,758.408	729,767.549	48.23	48.23	0.957	0.303	0	9	17
FM_I_q4fz0_m00tm02mz0	153	730,569.715	730,569.715	730,578.855	48.515	48.515	0.955	0.301	0	9	17
FM_I_q4fz0_m00tm01mz0	136	820,497.754	820,497.754	820,506.994	52.927	52.927	0.95	0.342	0	8	17
FM_I_q4fz0_m00tm00mz0	119	840,334.451	840,334.451	840,343.691	60.291	60.291	0.943	0.36	0	7	17
V. Global fluff erosion on fluff steps
F_G_q4fz0_m00tm00mz0	3	419,133.629	419,133.629	419,142.44	16.583	16.583	0.868	0.397	0	3	1
V. Global fluff & mass erosion
FM_G_q4fz0_m00tm00mz0	5	883,666.462	883,666.463	883,675.703	80.136	80.136	0.911	0.273	0	5	1
FM_G_q4fz0_m00tm01mz0	6	883,590.047	883,590.047	883,599.287	80.096	80.096	0.911	0.274	0	6	1
FM_G_q4fz0_m00tm02mz0	7	883,590.047	883,590.047	883,599.287	80.096	80.096	0.911	0.274	0	7	1
FM_G_q4fz0_m00tm03mz0	7	883,590.047	883,590.047	883,599.287	80.096	80.096	0.911	0.274	0	7	1

4 Supplementary data

4.1 Session information

Expand for R Session Info

─ Session info ───────────────────────────────────────────────────────────────
 setting  value
 version  R version 4.3.0 (2023-04-21 ucrt)
 os       Windows 10 x64 (build 19045)
 system   x86_64, mingw32
 ui       RTerm
 language EN
 collate  French_France.utf8
 ctype    French_France.utf8
 tz       Europe/Paris
 date     2023-12-01
 pandoc   3.1.1 @ C:/Program Files/RStudio/resources/app/bin/quarto/bin/tools/ (via rmarkdown)
 quarto   1.3.361 @ C:\\Users\\LEHUEN~1\\AppData\\Local\\Programs\\Quarto\\bin\\quarto.exe

─ Packages ───────────────────────────────────────────────────────────────────
 package      * version    date (UTC) lib source
 beepr        * 1.3        2018-06-04 [1] CRAN (R 4.3.0)
 boot         * 1.3-28.1   2022-11-22 [1] CRAN (R 4.3.0)
 broom        * 1.0.5      2023-06-09 [1] CRAN (R 4.3.0)
 colorspace   * 2.1-0      2023-01-23 [1] CRAN (R 4.3.0)
 conflicted   * 1.2.0      2023-02-01 [1] CRAN (R 4.3.0)
 data.table   * 1.14.8     2023-02-17 [1] CRAN (R 4.3.0)
 dplyr        * 1.1.2      2023-04-20 [1] CRAN (R 4.3.0)
 DT           * 0.28       2023-05-18 [1] CRAN (R 4.3.0)
 figpatch     * 0.2        2022-05-03 [1] CRAN (R 4.3.0)
 forcats      * 1.0.0      2023-01-29 [1] CRAN (R 4.3.0)
 geomtextpath * 0.1.1      2022-08-30 [1] CRAN (R 4.3.1)
 GGally       * 2.1.2      2021-06-21 [1] CRAN (R 4.3.0)
 ggdist       * 3.3.0      2023-05-13 [1] CRAN (R 4.3.0)
 ggforce      * 0.4.1      2022-10-04 [1] CRAN (R 4.3.0)
 ggh4x        * 0.2.4      2023-04-04 [1] CRAN (R 4.3.0)
 gginnards    * 0.1.2      2023-05-24 [1] CRAN (R 4.3.0)
 ggplot2      * 3.4.2      2023-04-03 [1] CRAN (R 4.3.0)
 ggpmisc      * 0.5.2      2022-12-17 [1] CRAN (R 4.3.0)
 ggpp         * 0.5.2      2023-04-01 [1] CRAN (R 4.3.0)
 ggpubr       * 0.6.0      2023-02-10 [1] CRAN (R 4.3.0)
 ggridges     * 0.5.4      2022-09-26 [1] CRAN (R 4.3.0)
 ggsci        * 3.0.0      2023-03-08 [1] CRAN (R 4.3.0)
 grafify      * 3.2.0      2023-04-29 [1] CRAN (R 4.3.0)
 gt           * 0.9.0      2023-03-31 [1] CRAN (R 4.3.0)
 gtExtras     * 0.4.5      2022-11-28 [1] CRAN (R 4.3.1)
 gtsummary    * 1.7.1      2023-04-27 [1] CRAN (R 4.3.1)
 here         * 1.0.1      2020-12-13 [1] CRAN (R 4.3.0)
 Hmisc        * 5.1-0      2023-05-08 [1] CRAN (R 4.3.0)
 htmltools    * 0.5.5      2023-03-23 [1] CRAN (R 4.3.0)
 htmlwidgets  * 1.6.2      2023-03-17 [1] CRAN (R 4.3.0)
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 knitr        * 1.43       2023-05-25 [1] CRAN (R 4.3.0)
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 openxlsx     * 4.2.5.2    2023-02-06 [1] CRAN (R 4.3.0)
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 pracma       * 2.4.2      2022-09-22 [1] CRAN (R 4.3.0)
 purrr        * 1.0.1      2023-01-10 [1] CRAN (R 4.3.0)
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 RColorBrewer * 1.1-3      2022-04-03 [1] CRAN (R 4.3.0)
 readr        * 2.1.4      2023-02-10 [1] CRAN (R 4.3.0)
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 reshape2     * 1.4.4      2020-04-09 [1] CRAN (R 4.3.0)
 rlist        * 0.4.6.2    2021-09-03 [1] CRAN (R 4.3.0)
 rstatix      * 0.7.2      2023-02-01 [1] CRAN (R 4.3.0)
 scales       * 1.2.1      2022-08-20 [1] CRAN (R 4.3.0)
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 sf           * 1.0-13     2023-05-24 [1] CRAN (R 4.3.0)
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 stringr      * 1.5.0      2022-12-02 [1] CRAN (R 4.3.0)
 tibble       * 3.2.1      2023-03-20 [1] CRAN (R 4.3.0)
 tidyr        * 1.3.0      2023-01-24 [1] CRAN (R 4.3.0)
 tidyverse    * 2.0.0      2023-02-22 [1] CRAN (R 4.3.0)
 tmap         * 3.3-3      2022-03-02 [1] CRAN (R 4.3.0)
 tmaptools    * 3.1-1      2021-01-19 [1] CRAN (R 4.3.0)
 unikn        * 0.8.0      2023-01-06 [1] CRAN (R 4.3.0)
 wesanderson  * 0.3.6      2018-04-20 [1] CRAN (R 4.3.0)
 zoo          * 1.8-12     2023-04-13 [1] CRAN (R 4.3.0)

 [1] C:/Users/lehuen201/AppData/Local/Programs/R/R-4.3.0/library

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References